A dynamical gluon mass solution in Mandelstam's approximation

International Journal of Modern Physics A

Volumn 20, Issue 32, 2005, Pages 7613-7632

  Aguilar, A C ^a   Natale, A A ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

Gluon Schwinger Dyson equation; Infrared gluon propagator; Nonperturbative QCD

Indexed keywords

EID: 31044437286     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X05025061     Document Type: Article

References (52)

1. S. Mandelstam, Phys. Rev. D 20, 3223 (1979).
2. G. B. West, Phys. Lett. B 115, 468 (1982).
3. N. Brown and M. R. Pennington, Phys. Rev. D 38, 2266 (1988);
4. N. Brown and M. R. Pennington, Phys. Rev. D 39, 2723 (1989).
5. P. Marenzoni, G. Martinelli, N. Stella and M. Testa, Phys. Lett. B 318, 511 (1993);
6. C. Alexandrou, Ph. de Forcrand and E. Follana, Phys. Rev. D 65, 114508 (2002);
7. C. Alexandrou, Ph. de Forcrand and E. Follana, Phys. Rev. D 65, 117502 (2002);
8. F. D. R. Bonnet et al., Phys. Rev. D 64, 034501 (2001);
9. F. D. R. Bonnet et al., Phys. Rev. D 62, 051501 (2000);
10. UKQCD Collab. (D. B. Leinweber et al.), Phys. Rev. D 58, 031501 (1998);
11. C. Bernard, C. Parrinello and A. Soni, Phys. Rev. D 49, 1585 (1994); See also the most recent simulation of P. O. Bowman et al., hep-lat/0402032, and the references therein.
12. J. M. Cornwall, Phys. Rev. D 26, 1453 (1982);
13. J. M. Cornwall and J. Papavassiliou, Phys. Rev. D 40, 3474 (1989);
14. J. M. Cornwall and J. Papavassiliou, Phys. Rev. D 44, 1285 (1991).
15. R. Alkofer and L. von Smekal, Phys. Rep. 353, 281 (2001);
16. L. von Smekal, A. Hauck and R. Alkofer, Ann. Phys. 267, 1 (1998);
17. L. von Smekal, A. Hauck and R. Alkofer, Phys. Rev. Lett. 79, 3591 (1997).
18. T. Kugo and I. Ojima, Prog. Theor. Phys. Suppl. 66, 1 (1979).
19. P. Watson and R. Alkofer, Phys. Rev. Lett. 86, 5239 (2001).
20. K.-I. Kondo, hep-th/0303251.
21. J. C. R. Bloch, Few Body Syst. 33, 111 (2003).
22. J. Gattnar, K. Langfeld and H. Reinhardt, hep-lat/0403011.
23. A. C. Aguilar, A. A. Natale and P. S. Rodrigues da Silva, Phys. Rev. Lett. 90, 152001 (2003).
24. S. J. Brodsky, hep-ph/0310289.
25. J. S. Ball and T.-W. Chiu, Phys. Rev. D 22, 2542 (1980).
26. R. Anishetty, M. Baker, S. K. Kim, J. S. Ball and F. Zachariasen, Phys. Lett. B 86, 52 (1979);
27. J. S. Ball and F. Zachariasen, Phys. Lett. B 95, 273 (1980).
28. A. Hauck, L. von Smekal and R. Alkofer, Comput. Phys. Commun. 112, 149 (1998).
29. D. C. Curtis and M. R. Pennington, Phys. Rev. D 42, 4165 (1990).
30. N. Brown and M. R. Pennington, Phys. Lett. B 202, 257 (1988).
31. J. C. R. Bloch, Phys. Rev. D 64, 116011 (2001);
32. D. Atkinson and J. C. R. Bloch, Phys. Rev. D 58, 094036 (1998).
33. M. R. Pennington, Rep. Prog. Phys. 46, 393 (1983).
34. A. G. Williams, G. Krein and C. D. Roberts, Ann. Phys. 210, 464 (1991).
35. K. Hagiwara et al., Phys. Rev. D 66, 010001 (2002);
36. M. Jamin and A. Pich, Nucl. Phys. B 507, 334 (1997).
37. M. Lavelle, Phys. Rev. D 44, R26 (1991).
38. D. Dudal et al., J. High Energy Phys. 0401, 044 (2004);
39. M. Esole and F. Freire, Phys. Rev. D 69, 041701 (2004); hep-th/0401055.
40. Ph. Boucaud et al., Nucl. Phys. Proc. Suppl. 106, 266 (2002);
41. D. V. Shirkov, Theor. Math. Phys. 132, 1309 (2002).
42. A. C. Aguilar and A. Natale, J. High Energy Phys. 0408, 057 (2004).
43. D. Atkinson, J. K. Drohm, P. W. Johnson and K. Stam, J. Math. Phys. 22, 2704 (1981);
44. D. Atkinson, P. W. Johnson and K. Stam, J. Math. Phys. 23, 1917 (1982).
45. J. M. Cornwall, R. Jackiw and E. Tomboulis, Phys. Rev. D 10, 2428 (1974).
46. J. M. Cornwall and R. E. Norton, Phys. Rev. D 8, 3338 (1973).
47. J. C. Montero, A. A. Natale and P. S. Rodrigues da Silva, Phys. Lett. B 406, 130 (1997).
48. E. V. Gorbar and A. A. Natale, Phys. Rev. D 61, 054012 (2000).
49. R. Crewther, Phys. Rev. Lett. 28, 1421 (1972);
50. M. Chanowitz and J. Ellis, Phys. Lett. B 40, 397 (1972);
51. J. C. Collins, A. Duncan and S. D. Joglekar, Phys. Rev. D 16, 438 (1977).
52. M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Nucl. Phys. B 147, 385, 448 (1979).